Abstract: This paper proposes a generalized Hilbert transformation which is fractional order Hilbert transformation. It can convert the phase of any angle and can improve the vertical resolution of seismic exploration. In seismic exploration, the phase axis is not sure reflection interfaces location, because phase axis is often complex wave superposition by vertical resolution of the effects.Which can not determine the formation of the approximate location in the seismic profile, layer and acoustic measurements Curve does not correspond well.Fractional Hilbert transform phase by any angle, to overcome the conventional 90° phase shift is zero defects phase to solve the problem of the phase shift at any angle.The polarity of phase axis has information of lithology, and the amplitude of phase axis has a stratigraphic concept.Thus, making geological stratum corresponds to logging curves in the seismic profile.